Zobrazeno 1 - 10
of 68
pro vyhledávání: '"Grec, Bérénice"'
Autor:
Grec, Bérénice, Simic, Srboljub
The aim of the study is to compare the standard Maxwell-Stefan model of diffusion with the higher-order one recently derived. This higher-order model takes into account the influence of the complete pressure tensor. A numerical scheme is developed fo
Externí odkaz:
http://arxiv.org/abs/2407.12362
In this article, we recall various existing kinetic models of non-reactive polyatomic gases. We also review the results, all recently obtained, about the compactness of the associated linearized Boltzmann operator, and briefly investigate the mixture
Externí odkaz:
http://arxiv.org/abs/2407.11452
Autor:
Grec, Bérénice, Simic, Srboljub
The paper studies a higher-order diffusion model of Maxwell-Stefan kind. The model is based upon higher-order moment equations of kinetic theory of mixtures, which include viscous dissipation in the model. Governing equations are analyzed in a scaled
Externí odkaz:
http://arxiv.org/abs/2305.08412
In this paper, we present an energy method for the system of Boltzmann equations in the multicomponent mixture case, based on a micro-macro decomposition. More precisely, the perturbation of a solution to the Boltzmann equation around a global equili
Externí odkaz:
http://arxiv.org/abs/2110.07213
Autor:
Briant, Marc, Grec, Bérénice
We present the arising of the Fick cross-diffusion system of equations for fluid mixtures from the multi-species Boltzmann in a rigorous manner in Sobolev spaces. To this end, we formally show that, in a diffusive scaling, the hydrodynamical limit of
Externí odkaz:
http://arxiv.org/abs/2003.07891
Publikováno v:
In Journal of Theoretical Biology 21 September 2023 573
We consider the Boltzmann operator for mixtures with cutoff Maxwellian, hard potentials, or hard spheres collision kernels. In a perturbative regime around the global Maxwellian equilibrium, the linearized Boltzmann multi-species operator $\mathbf{L}
Externí odkaz:
http://arxiv.org/abs/1811.08350
Autor:
Faccanoni Gloria, Grec Bérénice
Publikováno v:
ESAIM: Proceedings and Surveys, Vol 72, Pp 117-142 (2023)
In the present paper, we investigate several cubic equations of state widely used in the literature, for which we are able to construct analytically the complete law. In order to describe two-phase flows, we use Maxwell's construction, which amounts
Externí odkaz:
https://doaj.org/article/6325f4827b814d7e901a068ad04517ba
Autor:
Briant, Marc1 (AUTHOR) briant.maths@gmail.com, Grec, Bérénice1 (AUTHOR) berenice.grec@u-paris.fr
Publikováno v:
Asymptotic Analysis. 2023, Vol. 135 Issue 1/2, p55-80. 26p.
Autor:
Grec, Bérénice
Cette thèse est consacrée à la modélisation, à l'analyse mathématique et à la simulation numérique d'écoulements de divers fluides complexes dans des domaines de faible épaisseur. En effet, les modèles de fluides newtoniens ne sont pas tou
Externí odkaz:
http://tel.archives-ouvertes.fr/tel-00351462
http://tel.archives-ouvertes.fr/docs/00/35/14/62/PDF/These-BGrec-final.pdf
http://tel.archives-ouvertes.fr/docs/00/35/14/62/PDF/These-BGrec-final.pdf